Versik Processes and Very Weak Bernoulli Processes with Summable Rates are Independent

DOI10.2307/2044812zbMath0601.60001OpenAlexW4250015490MaRDI QIDQ3736611

Manfred Denker, Walter Philipp, Herold G. Dehling

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2044812

zbMATH Keywords

Wasserstein distanceweak Bernoulli processesdependence ratesVersik processes

Mathematics Subject Classification ID

Axioms; other general questions in probability (60A05) Measure-theoretic ergodic theory (28D99)

Related Items (6)

Almost block independence and Bernoullicity of \(\mathbb{Z}^ d\)-actions by automorphisms of compact Abelian groups ⋮ Mixing Properties of a Class of Bernoulli-Processes ⋮ Central limit theorem by moments ⋮ On a very weak bernoulli condition^† ⋮ Strong approximation of very weak Bernoulli processes ⋮ Finite-state, stationary, \(\varphi\)-mixing processes which are not very weak Bernoulli with rate \(O(1/n)\)

Cites Work

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• Versik processes: First steps
• A generalization of Ornstein's \(\overline d\) distance with applications to information theory
• Approximation theorems for independent and weakly dependent random vectors
• On a very weak bernoulli condition^†
• Uniform rates of convergence for Markov chain transition probabilities
• Strong approximation of very weak Bernoulli processes

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